You need to start SARPA.
Singha Advanced Research Project Agency
I would invest.
This idea of Ultra Long range SAM might be workable, I am intrigued. Sorry to continue this OT train of thought but...
The problems i see are,
1) Can the AMRAAM type missile be fired at hypersonic speeds? can it be fired if the launch platform (reentry cone) is spinning quite fast (as its designed to do to spread heat). Maybe ISRO developed tech for future mars lander can be used to deploy parachute or aero braking mechanism to slow down right before launch.
2) How will the launch platform send targeting data to the AMRAAM type missile? On conventional platforms the radar is used to acquire a lock which passes the target's radar profile to the missile before launch.
3) The satellite tracking should be possible from a technical standpoint, but we will need to seriously upgrade the numbers of military satellites we have in orbit before we can dream of something like this.